## Units Independent Avogadro Number and Its Applications in Unification

**Authors:** U .V . S. Seshavatharam, S. Lakshminarayana

By implementing the gravitational constant in atomic and nuclear physics, independent of the CGS and SI units, Avogadro number can be obtained very easily. It is observed that, either in SI system of units or in CGS system of units, value of the order of magnitude of Avogadro number $\cong N \cong 6 \times 10^{23}$ but not $6 \times 10^{26}.$ Key conceptual link that connects the gravitational force and non-gravitational forces is - the classical force limit $\left(\frac{c^{4} }{G} \right)$. For mole number of particles, if strength of gravity is $\left(N.G\right),$ any one particle's weak force magnitude is $F_{W} \cong \frac{1}{N} \cdot \left(\frac{c^{4} }{N.G} \right)\cong \frac{c^{4} }{N^{2} G} $. Ratio of `classical force limit' and `weak force magnitude' is $N^{2} $. This may be the beginning of unification of `gravitational and non-gravitational interactions'.

**Comments:** 16 Pages. Avogadro number couples the gravitational and non-gravitational interactions

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### Submission history

[v1] 2011-12-19 20:22:00

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